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" Four quantities are said to be proportional when the ratio of the first to the second is the same as the ratio of the third to the fourth. "
Elementary Course of Geometry ... - Σελίδα 50
των Charles William Hackley - 1847 - 103 σελίδες
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Τόμος 1

1801 - 446 σελίδες
...discontinued geometrical proportion ; for •£-= '•£ — 2, but \- = 8. Four numbers are directly proportional, when the ratio of the first to the second is the same as that of the third to die fourth. As 2 : 4 : : 3 : 6. Four numbers are said to be recipri*ally or inversely...

A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - 1811 - 406 σελίδες
...third. As of the three quantities A (2), B (4), c (8), where -*- = -f = 2, both the same ratio. 19. Four quantities are said to be Proportional, when the ratio of the first to die second, is the same as the ratio of the third to the fourth. As of the four, A (2), B (4), c (5),...

A Course of Mathematics: For the Use of Academies as Well as Private Tuition

Charles Hutton - 1812 - 620 σελίδες
...or 1* ; that of 6 to 4 is £ or £ ; 5ec. 77. Proportion is an equality of ratios. Thus, 78. Three quantities are said to be Proportional, when the ratio of the first to the second is equal to the ratio of the second to the third. As of the three quantities A (2), B (4), c (8), where...

A System of Arithmetic: Reprinted from the Mathematical Text-book

Samuel Webber - 1812 - 260 σελίδες
...16, 8, are in discontinued geometrical proportion ; for £=y=2, but *^=8. Four numbers are directly proportional, when the ratio of the first to the second is the same, as that of the third to the fourth. As 2 : 4 : : 3 : 6. Four numbers are said to be reciprocally, or inversely...

A Course of Mathematics: In Two Volumes : for the Use of Academies ..., Τόμος 1

Charles Hutton - 1816 - 610 σελίδες
...three quantities A (2), a (4), c (8), where £ = { = 2, both the same tatio. 79. Four quantities arc said to be Proportional, when the ratio of the first...ratio of the third to the fourth. As of the four, A (2), B (4), c (5), D < 10), where $ c= if = 3, both the same ratio. Mate. JVbte. To denote that four...

Encyclopaedia Perthensis; Or Universal Dictionary of the Arts ..., Τόμος 10

1816 - 764 σελίδες
...58. Four quantities are fiid to be PROPOITIOMAL when the ratio of the firft to the fccond is the fame as the ratio of the third to the fourth. As of the four quantities AM, B (4!, C (5), D (io) ; where i = V = ^, the common ratio/ NOTE. Tii denote that four...

Encyclopaedia Perthensis; or, Universal dictionary of Knowledge ..., Τόμος 10

Encyclopaedia Perthensis - 1816 - 772 σελίδες
...Four quantities are f lid to be PROPORTIONAL when the ratio of the firft to the fecond ia the fame as the ratio of the third to the fourth. As of the four quantities A (2), B (4', C (5), D (io); • where f = V" = i, the common ratio. NOTE. To denote that...

A Course of Mathematics: In Two Volumes. For the Use of Academies ..., Τόμος 1

Charles Hutton - 1818 - 646 σελίδες
...the third. As of the three quantities A (2), a (4), c (8), where 4 = f = 2, both the same ratio. 79. Four quantities are said to be Proportional, when...ratio of the third to the fourth. As of the four, A (2),B (4), c (5), D (10), where | = ij' = 2, both the same ratio. JWe. To denote tbat four quantities,...

Elements of Science and Art: Being a Familiar Introduction to ..., Τόμος 2

John Imison - 1822 - 488 σελίδες
...is obtained by dividing the consequent by the antecedent. 54. Three magnitudes or quantities, A,B,C, are said to be proportional, when the ratio of the first to the second is the same as that of the second to the third. Thus, 2, 4, 8, are proportional, because 4> is contained in 8 as many...

A New and Concise System of Arithmetick: Containing Vulgar, Decimal, and ...

Beriah Stevens - 1822 - 436 σελίδες
...arising from the division of the wntecedent 1, by the consequent 2, viz. i. Four numbers are siiid to be proportional when the ratio of the first to the second is the same as that of the tliii'd to the fourth ; and the proportional numbers are usually distinguished from one...




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